Let
f(x) = {3x - 7}/{x + 1] Find the range of f.

Give your answer as an interval.

Answers

Answer 1

Answer: Range = (-∞, 3) U (3, ∞)

Step-by-step explanation:

The range is the set of all y-values in a function. The easiest and most straightforward way to find the range is to graph the function and find asymptotes, or locations on the graph where the function lacks y-values.

You can plug in a few points to the equation, as shown in this table below.

After you have your points, you can draw your function following the points, as shown in the next image. Notice the line at y = 3, where the function does not cross. Although it will get infinitely close to the line, the function will never meet or cross this point at any x-value. This is what is known as a "horizontal asymptote", and is not included in the range of the function.

We can represent this asymptote in a range, which is a representation of all possible y-values in the function. The possible y-values for this function start at negative infinity and end at infinity, but do not exist at y = 3, so we represent this through this mathematical expression:

Range = (-∞, 3) U (3, ∞)

Letf(x) = {3x - 7}/{x + 1] Find The Range Of F. Give Your Answer As An Interval.
Letf(x) = {3x - 7}/{x + 1] Find The Range Of F. Give Your Answer As An Interval.

Related Questions

what decimal is between 4/5 and 5/6

Answers

Answer: .81 or .82

Step-by-step explanation:  

22. Restaurants At Morgan's Fine Cuisine, meals are served a la carte. That is, each
item on the menu is priced separately. Jackie and Ted Parris went to Morgan's to
celebrate their anniversary. Jackie ordered prime rib, 2 side dishes, and a roll. Ted
ordered prime rib, 3 side dishes, and 2 rolls. Jackie's meal came to $36 and Ted's
meal came to $44. If the prime rib is three times as expensive as a side dish, what
is the cost of each item?

Answers

Answer: Cost of a side dish = $ 7

Cost of a roll = $1

Cost of prime rib = $21

Step-by-step explanation:

Let x = cost of a side dish , y= cost of a roll

Then, cost of a prime rib = 3x

Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36

i.e. 3x+2x +y = 36

⇒ 5x+y=36   (i)

Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.

i.e. 3x+3x +2y = 44

⇒6x+2y=44

⇒ 3x+ y= 22   (ii)  [divide both sides by 2]

Subtract (ii) from (i), we get

2x= 14

⇒ x=7               [divide both sides by 2]

Put x=7 in (ii), 3(7)+y=22

⇒ 21+y=22

⇒  y =22-21

⇒ y= 1

So, cost of a side dish = $ 7

cost of a roll = $1

cost of prime rib = 3x $7 = $21

How many serving of cookies does this recipe make? How many serving are in 1 dozen cookies? How many servings are in 4 dozen cookies?

Answers

Answer:

one dozen: 12 servings

four dozens: 12x4 so 48 servings

Step-by-step explanation:

Assuming one cookie is one serving a dozen would be 12 so 12 servings per dozen.

Answer:

48 cookies

Step-by-step explanation: so a dozen cookies would be 12 cookies and 4*a dozen which would be 12 is 48 so 48 cookies= 4 dozens

Find the equation of the line in slope intercept form

Answers

Answer:

y= 1/3x-3

Step-by-step explanation:

rise /run

-3 is the point you start

Answer:

y = 1/3x - 3

Step-by-step explanation:

First, find the slope

(3, -2)

(0, -3)

-2-(-3) = 1

3 - 0 = 3

Slope = 1/3

Now, find the y intercept

y = mx + b

-2 = 3 * 1/3 + b

-2 = 1 + b

-3 = b

Rewrite the equation

y = 1/3x - 3

Please let me know if I did something wrong!

find the slope of the line that passes through points.
(3,5) and (7,2)

Answers

a = ( 3 , 5 )

b = ( 7 , 2 )

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

Now just need to put the coordinates in the above equation ;

[tex]slope = \frac{2 - 5}{7 - 3} \\ [/tex]

[tex]slope = \frac{ - 3}{4} \\ [/tex]

[tex]slope = - \frac{3}{4} \\ [/tex]

And we're done...

♥️♥️♥️♥️♥️

2-5=-3
7-3= 5
-3/5
hope this helped

3.a shoe store marks up its merchandise by 8%. what was the selling price of a pair of shoes whose wholesale price is $24.50?

Answers

Answer:

Hi there!

Your answer is:

26.46$ selling price

Step-by-step explanation:

.08 markup

Original price= 24.5

24.5+ (.08*24.5)

26.46$


8. The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph?*
Exchange Rate (December 6, 2011)
YA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120, 90)
0
100 200 300 400
Number of US dollars
Your answer

Answers

Answer:

K - Constant of proportionality

Y/X = K

Step-by-step explanation:

Can’t see the graph but the first point can be calculated. If your first point is (100,78) that’s (x,y), your k = 78/100, $78 US dollars and 100 euros, thus the unit rate is 78/100 = 0.78/1 which means 0.78 dollars equals 1 euro.

The table below shows the combination of dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water . Using the information provided in the table complete the remaining parts of the table . What belongs in Cell A?

Answers

This awnser is cell a

Answer:

60

Step-by-step explanation:

Marissa has a goal of shooting exactly 400 three–pointers during her basketball practice every week. She has already shot 105 of them over the first two days of practice. Write an equation to represent how many three–pointers (t) Marissa has to average over the next 5 days to reach her goal.

Answers

Answer: 5t = 400-105

Step-by-step explanation:

Let t= Number of three–pointers Marissa has to average over the next 5 days to reach her goal. .

Goal = 400 three–pointers every week.

Marissa has already shot  = 105 three–pointers

Remaining shots to achieve target (5t) = Goal - (Marissa has already shot)

i.e. 5t = 400-105  (required equation)

⇒ 5t = 295

⇒ t = 59

hence, she need to make 59 shots per day for next 5 days.

Between which two whole numbers number is the square root of 51

Answers

Answer:

Between 7 and 8

Answer:

7  < √ 51 <  8

√51 lies between 7 and 8

John has a soup recipe that calls for two 14.5-ounce cans of chicken broth. The recipe serves 4 people. He wants to increase the recipe to serve it to a party of 28 people. If John buys chicken broth in 1-quart containers, how many containers does he need?

Answers

Answer:

  6 11/32

Step-by-step explanation:

The two cans of broth used in the recipe total 2·14.5 oz = 29 oz. The number of people John wants to serve is 28/4 = 7 times the number served by one recipe. So, the amount of broth needed is ...

  (29 oz)·7 = 203 oz

Each quart container of broth holds 32 oz, so John will need ...

  (203 oz)/(32 oz/container) = 6 11/32 containers

John needs 6 11/32 containers of broth.

_____

If John must buy the broth, he must buy 7 containers. he will have 21/32 of a container left over after making his soup.

4 (2x + 3) = 4x + 24 + 6x – 6

Answers

Answer:

-3 = x

Step-by-step explanation:

4 (2x + 3) = 4x + 24 + 6x – 6

8x + 12 = 10x + 18

12 = 2x + 18

-6 = 2x

-3 = x

how many thirds are in 2 wholes? (p.s. I’m in last period and I need this quick)

Answers

Answer:

6 thirds

Step-by-step explanation:

Evaluate abc2 if a = −3, b = 6 and c = −8.

Answers

Answer:

288

Step-by-step explanation:

-3*6*-8*2=288

What type of equipment did police use in 1918

Answers

Answer:

Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.

Step-by-step explanation:

hope it helped!

p.s it would be cool it you would give me brainliest

evaluate f(z) for z=7

Answers

F(7) = F7 is the answer

What is the solution to this equation:
5x=35

Answers

Answer:

7

Step-by-step explanation:

5x = 35

Divide both sides by 5

x = 7

Whenever you have an equation like this, you have to simply divide both sides by the coefficient.

Celine is 28, celines age is 4 more than 1/3 of drakes age. How old is drake?

Answers

Answer:

Step-by-step explanation:

C = 28

C = 4 + 1/3 D

This means that

28 = 4 + 1/3 D

Subtract 4 from both sides.

24 = 1/3 D

Then to get rid of the fraction, multiply both sides by 3

72 = D

Therefore Drake is 72.

Answer:

72

Step-by-step explanation:

Complete the following equality. 4 days = hours

Answers

Day: 4

Hour: 96

Days Hours

1 Day 24 Hours

2 Days 48 Hours

3 Days 72 Hours

4 Days 96 Hours

Answer:

96 hours

Step-by-step explanation:

each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.

A parabolic heater has a cross section modeled by a parabola with vertex (0,0\right) and focus (2,0\right) . The heater has a depth of 5 inches. What is the width of the parabolic heater at its widest point? Round your answer to the nearest hundredth.

Answers

Answer:

y = 6.93

Step-by-step explanation:

Given the Vertex and ficuas of a parabola as :

Vertex (0,0) ; focus(0,2) ; depth = 5 inches

Width of parabolic heater at its widest point :

General equation of a parabola:

4p(x - h) = (y - k)²

(h, k) = Vertex

hence,

h =0 ; k = 0 ; p = 2 ; x = 5

(y - k)² = 4p(x - h)

(y - 0)² = 4*2(6 - 0)

(y-0)(y-0) = 8(6 - 0)

y² = 48 - 0

y² = 48

y = 6.928

y = 6.93

Answer:

8.33,236.67

Step-by-step explanation: im hard but i got it right

s = vt + 16t2 for v.

Answers

Answer:

s = vt + 16t^2

s -16t^2 = vt

s/t -16t = v

Answer:

v = s/t -16t

Step-by-step explanation:

find the compound interest
on Rs 4000 for 30 months at 10% per annum​

Answers

Answer:

Rs. 1076.23

Step-by-step explanation:

The compound interest is given by the formula;

A=P(1+r/n  )^nt

where

A= amount at the elapse of the period

P= principal amount = Rs=4000

r=rate of interest=10% =0.1

n=number of times the interest is applied per time period= 1

t=number of time periods elapsed = 30 months = 30/12 = 2.5 years

Applying the formula;

A=P(1+r/n  )^nt

A=4000( 1+ 0.1/1)^1*2.5

A=4000(1.1)^2.5

A=4000 * 1.2691

A=Rs. 5076.24

Compound interest  will be : 5076.24-4000 = Rs. 1076.23

4.)
Given ZBAM is a right angle and mZBAM = 4x + 22,
determine the value of x. Enter the NUMBER only.
Do NOT put x = . It will mark it wrong.
Your answer
I

Answers

Answer:

17

Step-by-step explanation:

ZBAM= 90

90=4x+22

90 minus 22= 68

68=4x

68 divided by 4=17

Which costs less per banana, 8 bananas for $1.95 or 12 bananas for $2.29? Explain.

Answers

Answer:

12 bananas for $2.29

Step-by-step explanation:

1.95/8=$0.24 per banana

2.29/12=$0.19 per banana

$0.19>$0.24


12 Bananas is the most worth it

how do you estimate​

Answers

Answer:

The general rule for estimating is to look at the digit to the right of the digit you want to estimate. Estimating or rounding to the nearest whole number means looking at the digit to the right of the decimal. If you see a digit greater than 5, round up, and if it's less than 5, round down.

Step-by-step explanation:

like terms and unlike terms

Answers

Answer:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.

Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all

Answer:

unlike terms

Step-by-step explanation:

are more than two hope this helps I just answer quickly

To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. About how many deer are in the forest?

Answers

Answer:

640

Step-by-step explanation:

405-45= 360

360+280=640

Answer:

2520 deer

Step-by-step explanation:

Given

Tagged deer = 280Caught deer = 405Tagged among caught = 45

The ratio of the tagged deer vs total

45 ⇔ 405280 ⇔ x

Solving by cross-multiplication

45x = 405*280x = 405*280/45x = 2520

So there are about 2520 deer in the forest

HELP please this is due at 11:55 so like in hour and I am confused

Answers

(10x-11)+(3x-2)+(3x+1)=180
16x -12=180
16x=192
x=12

(7x+5)+(3x-5)+90=80
10x+90=180
10x=90
x=90

180-151=29
(11x-1)+(20x-3)+29=180
31x-4+29=180
31x+25=180
31x=155
x=5


frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost $22 each. Let c be the cost for a salvia. Which inequality below could be used to show how much money Frank spent on salvia?

Answers

Answer: 3×22+c≤85

Step-by-step explanation:  i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be great

Hope this helped

Storm spent less than 9 hours memorizing and filming a scene that was 6 pages long in script. Express this as an inequality using the variable s.

Answers

Answer:

7.43

Step-by-step explanation

i Got it by calculating the varible s with 9 over with 6

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